105290648064000 has 4992 divisors, whose sum is σ = 487349349926400. Its totient is φ = 22574039040000.

The previous prime is 105290648063989. The next prime is 105290648064029. The reversal of 105290648064000 is 460846092501.

105290648064000 is a `hidden beast` number, since 1 + 0 + 529 + 0 + 6 + 4 + 80 + 6 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×105290648064000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1042481663950 + ... + 1042481664050.

It is an arithmetic number, because the mean of its divisors is an integer number (97626071700).

Almost surely, 2^{105290648064000} is an apocalyptic number.

105290648064000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105290648064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243674674963200).

105290648064000 is an abundant number, since it is smaller than the sum of its proper divisors (382058701862400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105290648064000 is an frugal number, since it uses more digits than its factorization.

105290648064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 105290648064000 in words is "one hundred five trillion, two hundred ninety billion, six hundred forty-eight million, sixty-four thousand".